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Finding the Fourth Proportional to 20,450.91, 30,676.37 and 6,412.04

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Solution

The fourth proportional to 20,450.91, 30,676.37 and 6,412.04 is: 9,618.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,450.91 : 30,676.37 = 6,412.04 : x
  2. Step 2: Convert to fraction form
    20,450.91/30,676.37 = 6,412.04/x
  3. Step 3: Cross multiply
    20,450.91x = 30,676.37 × 6,412.04
  4. Step 4: Simplify right side
    20,450.91x = 196,697,926.05
  5. Step 5: Solve for x
    x = 196,697,926.05/20,450.91
  6. Step 6: Final answer
    x = 9,618.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.